Q13Engineering Physics

Question

Answer 1

In optical interference physics, the specific 'Fringe Visibility' (or Contrast), denoted by $V$ , mathematically quantifies the absolute clarity or sharpness of the resulting interference fringes. It is strictly defined as the exact ratio of the difference between maximum and minimum intensities to their sum.

Given Parameters

Fringe Visibility ( $V$ ): $0.40$ (representing 40% overlap/visibility).
Maximum Intensity ( $I_{ma x}$ ): $20 units$ .

Mathematical Calculation

The fundamental visibility equation is rigidly defined as:

V = \frac{I _{ma x} - I _{min}}{I _{ma x} + I _{min}}

We systematically substitute the exact given values directly into the equation:

0.4 = \frac{20 - I _{min}}{20 + I _{min}}

Rigidly solving for the unknown minimum intensity, $I_{min}$ :

0.4 (20 + I_{min}) = 20 - I_{min}

8 + 0.4 I_{min} = 20 - I_{min}

1.4 I_{min} = 12

I_{min} = \frac{12}{1.4} \approx 8.571 units

Q13Engineering Physics

Question

Answer

Given Parameters

Mathematical Calculation